Applications to neuroscience

The mathematical work done on minimal surfaces in the roto-translation group provide predictions as to the function of the disocclusion process in the first layer of the visual cortex.  Projects in this area might include:

 

1. Research in the neuroscience literature to provide experimental data to compare to the model data to either confirm the mathematical model of V1 or help refine it.

2. Interpretation of the contribution of other layers of the visual cortex to disocclusion within the model.  (Note:  this is a huge problem in which there are many, more tractable pieces)

 

Experience and requirements:  Students interested in these areas should have completed at least math 13 (or the equivalent) and have some experience in neuroscience (e.g. at least PSYCH 6 with a preference for higher level work).